A bag contains 6 red marbles and 4 bhre rnarbles. Find the probability of drarving ir red marble, keeping it, and drarving another red marble. Write the probability as a fraction in simplest form.

Question

The events are dependent

P(red and red) =

Answer 1

Hello Carly,

When something is done in two steps, you can usually multiply the probability for each step to get the probability for both steps.

In this case, start by finding the probability of picking a red marble on the first step.

Then assume you picked a red marble out of the bag and kept it. What marbles would be left in the bag? (only 9 of them right? How many will be red?)

Now find the probability of picking a red marble on the second step (something out of 9)

To get the final answer, multiply your two probabilities together.

If you work it out, you send in your work and answer to be checked.

Answer 2

Since the bag contains 6 red marbles and 4 blue marbles, the total number of marbles is 6+4 = 10 marbles.

The probability of drawing a red marble is equal to: (total number of red marbles)/(total number of marbles)

In this case, this equals: 6 red marbles / 10 total marbles = 6/10. So the probability, of drawing one red marble is 6/10.

If we decide to keep that red marble instead of putting it back, we only have 5 marbles left in the bag and 9 total marbles (since one red one has been removed). Using the formula from before, we get:

5 red marbles / 9 total marbles = 5/9.

We would find the final probability by multiplying (6/10) x (5/9) to find the probability of both events occurring.

Answer 3

Hello!

**For this problem lets assume "bhre rnarbes" means "blue marbles".

Step 1) Convert the word problem into an equation.

10 marbles Total = 6 Red Marbles + 4 Blue Marbles

Step 2) Drawing a red marble from the bag

Probability of drawing a red marble can be expressed by the following expression.

6 red marbles/ 10 Total Marbles. = 6/10 chance

Step 3) Drawing a second marble after keeping 1 Red Marble

Now we have

9 Marbles Total = 5 Red Marbles + 4 Blue Marbles

To find the percent chance of drawing another red marbles. We can use the following expression:

5 Red Marbles / 9 Marbles Total = 5/9 chance

Step 4) Combine both chances

To take into account both events, we need to multiply both probabilities

6/10 * 5/9 = 30/90 or 1/3 chance